What is the greatest number that, when it divides 1128, 1537 and 1834 leaves remainders 7, 3 and 5, respectively?
Given:
Numbers: 1128, 1537, 1834
Remainders: 7, 3, 5 respectively
Formula Used:
Required greatest number (N) = HCF of (1128 - 7, 1537 - 3, 1834 - 5)
Solution:
Subtract remainders from the numbers
1128 - 7 = 1121
1537 - 3 = 1534
1834 - 5 = 1829
HCF of 1121, 1534, and 1829
Prime factorization:
1121 = 59 × 19
1534 = 2 × 13 × 59
1829 = 31 × 59
=> The greatest number = 59
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishFind the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
The greatest number, which divides 711 and 1040 to leave 48 and 20 respectively as remainders, is:
The greatest number that divides 210, 1245 and 2160 is:
There are four equilateral triangles with sides 95 cm, 76 cm, 57 cm and 152 cm. What maximum size scale (in cm) can measure all of them exactly?
The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
Deepesh has 168 litres of Oil A and 234 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Deepesh uses, so that all the oil that Deepesh has, of both the types, can be poured into these containers?
HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.
Suggested Test Series
Suggested Test Series
